Qualitative behavior of a two‐dimensional discrete‐time prey–predator model | Zendy

Berkal Messaoud | Zendy; Navarro Juan F. | Zendy

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Qualitative behavior of a two‐dimensional discrete‐time prey–predator model

Author(s) -

Berkal Messaoud,

Navarro Juan F.

Publication year - 2021

Publication title -

computational and mathematical methods

Language(s) - English

Resource type - Journals

ISSN - 2577-7408

DOI - 10.1002/cmm4.1193

Subject(s) - intraspecific competition , mathematics , predation , bifurcation , population model , population , stability (learning theory) , discrete time and continuous time , predator , differential equation , competition (biology) , mathematical analysis , statistics , ecology , computer science , nonlinear system , biology , physics , demography , quantum mechanics , machine learning , sociology

In this article, we discuss the qualitative behavior of a two‐dimensional discrete‐time prey–predator model. This system is the result of the application of a nonstandard difference scheme to a system of differential equations for a prey–predator model including intraspecific competition of prey population. In particular, we evaluate the fixed points of the system and study their local asymptotic stability. We also prove the existence of a Neimark–Sacker bifurcation.

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